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Finding the Fourth Proportional to 919.65, 1,380.15 and 573.49

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Solution

The fourth proportional to 919.65, 1,380.15 and 573.49 is: 860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.65 : 1,380.15 = 573.49 : x
  2. Step 2: Convert to fraction form
    919.65/1,380.15 = 573.49/x
  3. Step 3: Cross multiply
    919.65x = 1,380.15 × 573.49
  4. Step 4: Simplify right side
    919.65x = 791,498.77
  5. Step 5: Solve for x
    x = 791,498.77/919.65
  6. Step 6: Final answer
    x = 860.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.